Mirror Symmetry for Truncated Cluster Varieties

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2022
• Main Authors: Gammage, Benjamin, Le, Ian
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2022
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211732
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Mirror Symmetry for Truncated Cluster Varieties. Benjamin Gammage and Ian Le. SIGMA 18 (2022), 055, 30 pages

In the algebraic setting, cluster varieties were reformulated by Gross-Hacking-Keel as log Calabi-Yau varieties admitting a toric model. Building on the work of Shende-Treumann-Williams-Zaslow in dimension 2, we describe the mirror to the GHK construction in arbitrary dimension: given a truncated cl...